55730465200656 has 135 divisors (see below), whose sum is σ = 161965465176333. Its totient is φ = 18576015482880.

The previous prime is 55730465200583. The next prime is 55730465200687. The reversal of 55730465200656 is 65600256403755.

The square root of 55730465200656 is 7465284.

It is a perfect power (a square), and thus also a powerful number.

55730465200656 is a `hidden beast` number, since 5 + 5 + 73 + 0 + 46 + 520 + 0 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11009681431056 + 44720783769600 = 3318084^2 + 6687360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2418740496 + ... + 2418763536.

Almost surely, 2^{55730465200656} is an apocalyptic number.

55730465200656 is the 7465284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55730465200656

55730465200656 is an abundant number, since it is smaller than the sum of its proper divisors (106234999975677).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55730465200656 is an frugal number, since it uses more digits than its factorization.

55730465200656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46114 (or 23046 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 55730465200656 in words is "fifty-five trillion, seven hundred thirty billion, four hundred sixty-five million, two hundred thousand, six hundred fifty-six".